Answer:
v₂ = 35.57 m/s
Explanation:
Given :
Inlet steam pressure, P₁ = 1 MPa
Inlet steam temperature, T₁ = 260°C
Inlet velocity of steam, V₁ = 30 m/s
Outlet steam pressure, P₂ = 0.3 MPa
Outlet steam temperature, T₂ = 160°C
Now,
From steam table at pressure 1 Mpa and temperature 260°C, enthalpy, h₁ = 2964.8 kJ/kg
From steam table at pressure 0.3 Mpa and temperature 160°C, enthalpy, h₂ = 2782.14 kJ/kg
Therefore, for an open system from 1st law of thermodynamics, we get
Energy in = Energy out
E₁ = E₂
=
![v_{2}^{2}= 2\left [ h_{1}-h_{2}+\frac{v_{1}^{2}}{2} \right ]](https://tex.z-dn.net/?f=v_%7B2%7D%5E%7B2%7D%3D%202%5Cleft%20%5B%20h_%7B1%7D-h_%7B2%7D%2B%5Cfrac%7Bv_%7B1%7D%5E%7B2%7D%7D%7B2%7D%20%5Cright%20%5D)
![v_{2}^{2}= 2\left [ 2964.8-2782.14+\frac{30^{2}}{2} \right ]](https://tex.z-dn.net/?f=v_%7B2%7D%5E%7B2%7D%3D%202%5Cleft%20%5B%202964.8-2782.14%2B%5Cfrac%7B30%5E%7B2%7D%7D%7B2%7D%20%5Cright%20%5D)
2 X 632.66
v₂ = 35.57 m/s
Therefore, outlet velocity, v₂ = 35.57 m/s
I think D. By pressing gradually
Answer:
a) 158.4 HP.
b) 1235.6 °F.
Explanation:
Hello there!
In this case, according to the given information, it turns out possible for us to set up an energy balance for the turbine's inlets and outlets:

Whereas the mass flow is just the same, which means we have:

And the enthalpy and entropy of the inlet stream is obtained from steam tables:

Now, since we assume the 80% accounts for the isentropic efficiency for this adiabatic gas turbine, we assume the entropy is constant so that:

Which means we can find the temperature at which this entropy is exhibited at 15 psia, which gives values of temperature of 1200 °F (s=2.1986 BTU/lbm-K) and 1400 °F (s=2.2604 BTU/lbm-K), and thus, we interpolate for s=2.2096 to obtain a temperature of 1235.6 °F.
Moreover, the enthalpy at the turbine's outlet can be also interpolated by knowing that at 1200 °F h=1639.8 BTU/lbm and at 1400 °F h=174.5 BTU/lbm, to obtain:

Then, the isentropic work (negative due to convention) is:

And the real produced work is:

Finally, in horsepower:

Regards!
Answer:
In Btu:
Q=0.001390 Btu.
In Joule:
Q=1.467 J
Part B:
Temperature at midpoint=274.866 C
Explanation:
Thermal Conductivity=k=30 (Btu/hr)/(ft ⋅ °F)= 
Thermal Conductivity is SI units:

Length=20 cm=0.2 m= (20*0.0328) ft=0.656 ft
Radius=4/2=2 mm =0.002 m=(0.002*3.28)ft=0.00656 ft
T_1=500 C=932 F
T_2=50 C= 122 F
Part A:
In Joules (J)

Heat Q is:

In Btu:

Heat Q is:

PArt B:
At midpoint Length=L/2=0.1 m

On rearranging:


Answer:
The displacement from t = 0 to t = 10 s, is -880 m
Distance is 912 m
Explanation:
. . . . . . . . . . A
integrate above equation we get

from information given in the question we have
t = 1 s, s = -10 m
so distance s will be
-10 = 12 - 1 + C,
C = -21

we know that acceleration is given as
[FROM EQUATION A]
Acceleration at t = 4 s, a(4) = -24 m/s^2
for the displacement from t = 0 to t = 10 s,

the distance the particle travels during this time period:
let v = 0,

t = 2 s
Distance ![= [s(2) - s(0)] + [s(2) - s(10)] = [1\times 2 - 2^3] + [(12\times 2 - 2^3) - (12\times 10 - 10^3)] = 912 m](https://tex.z-dn.net/?f=%3D%20%5Bs%282%29%20-%20s%280%29%5D%20%2B%20%5Bs%282%29%20-%20s%2810%29%5D%20%3D%20%5B1%5Ctimes%202%20-%202%5E3%5D%20%2B%20%5B%2812%5Ctimes%202%20-%202%5E3%29%20-%20%2812%5Ctimes%2010%20-%2010%5E3%29%5D%20%3D%20912%20m)